Chapter 18, Problem 3Q

To determine

To explain:

The quantity that is actually represented by the battery rating ampere-hours (A-h)

Answer to Problem 3Q

Solution:

It represents the net charge stored in the battery or the net charge which can be supplied by the battery.

Explanation of Solution

Suppose for a battery, the ampere-hours (A-h)rating is mentioned to be 20 A-h. This implies that a particular battery can provide 20A current continuously for 1 hour or 10A current continuously for 2 hours or 5A current continuously for 4 hour etc.

It means that the product of current (I)being supplied by the battery and the time (t)in hours up to which this current can be supplied is constant and that is equal to the A-h rating of the battery. And we know that the product of current and time is nothing but the charge (q)

Hence, if for a battery A-h rating is given to be r, then:

              $r=I\times t=q$

Thus the A-h rating of battery is nothing but the net charge stored in the battery or the net charge which can be supplied by the battery.